Prove or disprove that the point (1, V5) lies on the circle centered at the origin and containing the point (0, 1).

Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

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Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

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Q: Find the distance from the point (9, 7, 4) to the origin.

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point?

A: The distance of a point from the yz-plane is given by the x coordinate of the point. Because, the x…

Q: rotate the point (2,8) by the (3/5,4/5) about the origin (0,0). (3/5,4/5) is on the unit circle.

A: Given data, Point A(2,8)

Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

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Q: What is the distance between the origin and the point (4, 3, 3)

A: To find the distance between the origin and the point (4, 3, 3)

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Show that the points P(9,-4) Q(8,6) and R(-1,5) lie on a circle with Centre C(4,1)

A: We have to show that these are points of a circle but by proof it is clear that these are not a…